Answer:
The future value of loan amount after 4 months is $ 34,695.136
Step-by-step explanation:
Given as :
The loan principal = $ 34300
The rate of interest applied = 3.5 %
The time period = 4 months = 
year
Let The amount after 4 months = $ A
<u>From compounded method</u>
Amount = Principal × 
or, Amount = 34300 × 
or, Amount = 34300 × 
or, Amount = 34300 × 1.01152
∴ Amount = $ 34,695.136
Hence The future value of loan amount after 4 months is $ 34,695.136 Answer
The line y = x + 3 has slope 1, so we look for points on the curve where the tangent line, whose slope is dy/dx, is equal to 1.
y² = x
Take the derivative of both sides with respect to x, assuming y = y(x) :
2y dy/dx = 1
dy/dx = 1/(2y)
Solve for y when dy/dx = 1 :
1 = 1/(2y)
2y = 1
y = 1/2
When y = 1/2, we have x = y² = (1/2)² = 1/4. However, for the given line, when y = 1/2, we have x = y - 3 = 1/2 - 3 = -5/2.
This means the line y = x + 3 is not a tangent to the curve y² = x. In fact, the line never even touches y² = x :
x = y² ⇒ y = y² + 3 ⇒ y² - y + 3 = 0
has no real solution for y.
2,3,4,1, the probability is in order from greatest to least. If they asked for least to greatest then, 1,4,3,2. So use the least to greatest one.
